Frequency locking by external force from a dynamical system with strange nonchaotic attractor

2006 ◽  
Vol 354 (4) ◽  
pp. 298-304 ◽  
Author(s):  
Shuguang Guan ◽  
Xingang Wang ◽  
C.-H. Lai
Keyword(s):  
Dynamical System ◽  
External Force ◽  
Frequency Locking ◽  
Strange Nonchaotic Attractor

Parametric Resonance of a Self-Excited System Under External Force and Time Delay Influence

2013 ◽  
Author(s):  
Jerzy Warminski ◽  
Anna Warminska
Keyword(s):  
Time Delay ◽  
External Force ◽  
Parametric Resonance ◽  
Parametric Excitation ◽  
Multiple Time ◽  
Frequency Locking ◽  
Scale Method ◽  
Rayleigh Function ◽  
Excited System ◽  
Multiple Time Scale Method

Vibrations of a nonlinear self-excited system driven by parametric excitation are presented in the paper. The considered model with one DOF includes a self-excitation term represented by a nonlinear Rayleigh function and also a periodically varied stiffness coefficient which represents parametric excitation. The influence of the external force or/and time delay, treated as a control signal, is demonstrated. Nonlinear parametric resonance is determined numerically and analytically by the multiple time scale method. The influence of time delay on the resonance zones and the frequency locking phenomenon is analysed.

PHASE SEPARATION DYNAMICS AND EXTERNAL FORCE FIELD

1988 ◽  
Vol 02 (06) ◽  
pp. 765-771 ◽  
Author(s):  
K. KITAHARA ◽  
Y. OONO ◽  
DAVID JASNOW
Keyword(s):  
Dynamical System ◽  
Phase Separation ◽  
Force Field ◽  
External Force ◽  
System Modeling ◽  
Bulk Phase ◽  
Hilliard Equation ◽  
External Force Field ◽  
Dynamical System Modeling ◽  
Cahn Hilliard Equation

If spinodal decomposition is modeled by the Cahn-Hilliard (-Cook) equation, the effect of a uniform external force such as gravitation does not appear in the bulk phase kinetics. In contrast, in the Kawasaki exchange modeling of the local dynamics of binary alloys, this effect directly modifies the bulk phase kinetics. We resolve this paradox through the cell-dynamical-system modeling of the Kawasaki exchange dynamics. Its continuum version has turned out to be a modified Cahn-Hilliard equation already proposed by Langer et al. about ten years ago. We demonstrate some examples in which the correction to the Cahn-Hilliard equation is significant.

scholarly journals The Existence of WeakD-Pullback Exponential Attractor for Nonautonomous Dynamical System

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Yongjun Li ◽  
Xiaona Wei ◽  
Yanhong Zhang
Keyword(s):  
Dynamical System ◽  
Diffusion Equation ◽  
External Force ◽  
Exponential Growth ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Exponential Attractor ◽  
Exponential Attractors ◽  
Nonautonomous Dynamical System

First, for a processU(t,τ)∣t≥τ, we introduce a new concept, called the weakD-pullback exponential attractor, which is a family of setsM(t)∣t≤T, for anyT∈R, satisfying the following: (i)M(t)is compact, (ii)M(t)is positively invariant, that is,U(t,τ)M(τ)⊂M(t), and (iii) there existk,l>0such thatdist(U(t,τ)B(τ),M(t))≤ke-(t-τ); that is,M(t)pullback exponential attractsB(τ). Then we give a method to obtain the existence of weakD-pullback exponential attractors for a process. As an application, we obtain the existence of weakD-pullback exponential attractor for reaction diffusion equation inH01with exponential growth of the external force.

scholarly journals Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3

2019 ◽  
Vol 17 (1) ◽  
pp. 1411-1434
Author(s):  
Zongfei Han ◽  
Shengfan Zhou
Keyword(s):  
Dynamical System ◽  
Diffusion Equation ◽  
External Force ◽  
Multiplicative Noise ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Random Dynamical System ◽  
Exponential Attractor

Abstract We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous NRDS. Then we study the existence of the random uniform exponential attractor for reaction-diffusion equation with quasi-periodic external force and multiplicative noise in ℝ3.

The Unassailable Self: Freud's Image Among Post-war American Intellectuals

2017 ◽  
Vol 19 (1) ◽  
pp. 55-75 ◽  
Author(s):  
Katherine Jenness
Keyword(s):  
World War Ii ◽  
Cold War ◽  
External Force ◽  
Sigmund Freud ◽  
Human Being ◽  
World War ◽  
The Us ◽  
Post War ◽  
The Cold War ◽  
The Way

This paper explores the way American intellectuals depicted Sigmund Freud during the peak of popularity and prestige of psychoanalysis in the US, roughly the decade and a half following World War II. These intellectuals insisted upon the unassailability of Freud's mind and personality. He was depicted as unsusceptible to any external force or influence, a trait which was thought to account for Freud's admirable comportment as a scientist, colleague and human being. This post-war image of Freud was shaped in part by the Cold War anxiety that modern individuality was imperilled by totalitarian forces, which could only be resisted by the most rugged of selves. It was also shaped by the unique situation of the intellectuals themselves, who were eager to position themselves, like the Freud they imagined, as steadfastly independent and critical thinkers who would, through the very clarity of their thought, lead America to a more robust democracy.

Sign in / Sign up

Export Citation Format

Share Document